What is the value of angle 2x + 1 ? A.41 B.50 C.60 D.25

What is the value for x?

41

Step-by-step explanation:

These angles are vertical angles, and vertical angles are equal

2x+1 = 7x-99

Subtract 2x from each side

2x+1-2x = 7x-2x-99

1 = 5x-99

Add 99 to each side

1+99 = 5x-99+99

100 = 5x

Divide each side by

100/5 = 5x/5

20 =x

The 2x+1 angle equals

2(20)+1

40+1

41

x = 20 and 2x + 1° = 41°

Step-by-step explanation: In this problem, we're asked to use the diagram shown to find x and then use that to find 2x + 1°.

Notice that these angles are vertical angles

so we know that the angles are congruent.

Therefore, since the measure of one angle is 7x - 99° and the measure of the other angle is 2x + 1°, we can setup the equation 7x - 99 = 2x + 1.

Solving from here, we subtract 2x from both sides to get

5x - 99 = 1 and adding 99 to both sides, we have 5x = 100.

Dividing both sides by 5, x = 20.

To find the measure of the angle 2x + 1°, we can substitute

a 20 in for x in the equation to get 2(20) + 1 or 40 + 1 which is 41.

So the measure of the angle 2x + 1° is 41°